Interleaved multipath digital power amplification

ABSTRACT

In one embodiment, a power amplification system of a radio-frequency transmitter includes a digital signal source that provides a digital input signal to an interleaved-bit-stream generator, which outputs a digital switching signal to a switching power amplifier. The interleaved-bit-stream generator has an eight-path interleaving architecture that helps reduce the effective clock-rate requirements of the interleaved-bit-stream generator. The interleaved-bit-stream generator includes an array of fractional-delay filters for receiving the digital input signal and outputting eight fractionally delayed digital output signals to a bit-stream generation array adapted to output eight corresponding bit streams to a serializer block that interleaves and combines the eight bit-streams into the digital switching signal. The relative phases of the interleaved signals may be adjusted to achieve certain desired effects.

This application claims the benefit of the filing date of U.S.Provisional Application No. 61/791,328 filed on Mar. 15, 2013, theteachings of which are incorporated herein by reference in theirentirety.

BACKGROUND

1. Field

The current disclosure relates to digital power amplifiers, and morespecifically, but not exclusively, to digital power amplifiers forradio-frequency transmission systems.

2. Description of the Related Art

Radio-frequency (RF) transmitters communicate with RF receivers usingradio-frequency electromagnetic signals. A typical RF transmitterincludes a processing module and an antenna. A digital processing moduleuses relatively low-power digital signals. The signals transmitted bythe antenna, however, need to be relatively high-powered and analog inorder to be picked up by antennas in the RF receivers. Consequently, apower amplifier is typically used by RF transmitters on outgoing signalsbetween the processing module and the antenna.

Conventional power amplifiers that use analog components providerelatively low power efficiencies. Digital power amplifiers, such asso-called class-D and class-S amplifiers, can be significantly moreefficient than analog power amplifiers. Increasing the power-useefficiency may reduce initial costs, operating costs, and maintenancecosts of an RF transmitter. The design and operation of various analogand digital power amplifiers are described in Stephen Ralph's “Class-SPower Amplifier For Use In Mobile Phone Basestations,” NationalUniversity of Ireland Maynooth, 2007, incorporated herein by referencein its entirety.

FIG. 1 shows a simplified block diagram of conventional poweramplification system 100 of an RF transmitter with a digital processingmodule. System 100 comprises digital signal source 101 which providesmulti-bit, relatively low-frequency, digital baseband (BB) signal 101 ato bit-stream generator 102. Bit-stream generator 102 may be, forexample, a pulse-width modulator or a sigma-delta modulator. Bit-streamgenerator 102 generates a digital, low resolution (e.g., 1-bit),radio-frequency switching signal, or bit stream, 102 a, which is derivedfrom digital signal 101 a based on a transfer function implemented bybit-stream generator 102.

Switching signal 102 a is at a higher frequency but a lower resolutionthan digital signal 101 a, because the transformation of signal 101 ainto signal 102 a introduces quantization noise into signal 102 a. Thetransfer function of bit-stream generator 102 may be used for spectralshaping and may be set so that the location, on a frequency scale, ofthe quantization noise is moved away from a frequency band of interestto an outlying frequency band. Bit-stream generator 102 performsfrequency up-conversion from a baseband frequency to a radio frequencyand transforms high-resolution digital signal 101 a into low-resolutiondigital signal 102 a while maintaining a high signal-to-noise ratio(SNR) in the frequency band of interest.

Switching power amplifier 103 acts as a high-fidelity RFdigital-to-analog converter that outputs amplified RF signal 103 a basedon signal 102 a. Signal 103 a is then provided to bandpass filter 104,which substantially passes through the frequency band of interest whilesubstantially blocking other frequencies, thereby substantiallyfiltering out the quantization error introduced by bit-stream generator102. Bandpass filter 104 outputs analog signal 104 a, which is providedto antenna 105 for transmission. Note that system 100 uses oversampling,where the sampling frequency of bit-stream signal 102 a is several timeshigher than the desired bandwidth of the analog RF output signal 104 a.

FIG. 2 shows a circuit diagram of one conventional implementation ofswitching power amplifier 103 of FIG. 1, which functions to provideoutput signal 103 a, an amplified analog version of its digital inputsignal 102 a. Amplifier 103 comprises n-channel field-effect transistor(FET) 201 and p-channel FET 202, both of whose gates are controlled byinput signal 102 a. FETs 201 and 202 may be power transistors using, forexample, GaN, LDMOS, or GaAs technologies. The drain terminal of FET 201is connected to voltage source 203. The drain terminal of FET 202 isconnected to common (i.e., ground) voltage 204. The source terminals ofFETs 201 and 202 are connected together to generate output signal 103 a.Protection diode 205 is connected between the drain and source of FET201, while protection diode 206 is connected between the drain andsource of FET 202. Output signal 103 a may go through a broad-band RFband-pass filter (not shown) before being output by amplifier 103. Abroad-band RF band-pass filter may be implemented as an RF tank circuit,also known as an LC circuit.

FIG. 3 shows a simplified block diagram of one implementation ofbit-stream generator 102 of FIG. 1. Bit-stream generator 102 of FIG. 3is implemented as a sigma-delta modulator and comprises upsampler 301,loop filter 302, and quantizer 303. A sigma-delta modulator, as its namesuggests, performs a summation of differences. Upsampler 301 receivesinput digital signal 101 a at sampling frequency Fs, increases thesampling frequency by a factor P, and outputs digital signal 301 a atsampling frequency P*Fs. Signal 301 a is one of the inputs to loopfilter 302 with the other being signal 102 a, the 1-bit output ofbit-stream generator 102. Loop filter 302 comprises a comparator and anintegrator (not shown) and performs a summing of differences betweeninput 301 a and input 102 a and outputs the result as signal 302 a toquantizer 303. Quantizer 303 outputs a high or low value correspondingto a positive or negative value, respectively depending on whether 302 ais above or below a set threshold. 1-bit output signal 102 a has asampling frequency of P*Fs.

BRIEF DESCRIPTION OF THE DRAWINGS

Other aspects, features, and advantages of the disclosure will becomemore fully apparent from the following detailed description, theappended claims, and the accompanying drawings in which like referencenumerals identify similar or identical elements.

FIG. 1 shows a simplified block diagram of a power amplification segmentof a conventional transmitter.

FIG. 2 shows a circuit diagram of one implementation of the switchingpower amplifier of FIG. 1.

FIG. 3 shows a simplified block diagram of one implementation of thebit-stream generator of FIG. 1.

FIG. 4 shows a simplified block diagram of a power amplification segmentof a transmitter in accordance with one embodiment of the disclosure.

FIG. 5 shows a simplified block diagram of an exemplary implementationof the interleaved-bit-stream generator of FIG. 4.

FIG. 6 shows a block diagram of an exemplary implementation of a Farrowstructure.

FIG. 7 shows exemplary source code for simulating the generation of aband-pass bit-stream signal.

FIGS. 8(A)-8(G) are a series of frequency graphs illustrating theexemplary generation by the serializer block of FIG. 5 of a band-passbit-stream output signal of a single tone.

FIG. 9 shows an alternative implementation of the interleaved-bit-streamgenerator of FIG. 4.

FIGS. 10(A)-10(B) help illustrate how the FD filter pairs andcorresponding adders of FIG. 9 generate their corresponding outputs.

FIGS. 11(A)-11(G) are a series of related frequency graphs illustratingthe processing of signals using substantially the same arrangement asused in FIGS. 8(A)-8(G), but for narrowband (and band-limited) signals.

FIGS. 12(A)-12(D) show four variations for the spectral components forthe signal of FIG. 11(G).

FIGS. 13(A)-13(C) show time and corresponding spectral plots ofsimulations using single tones in generating low-pass, high-pass, andband-pass signals.

FIGS. 14(A)-14(B) show time and corresponding spectral plots forexemplary scenarios of FIGS. 11(A)-11(G) using dual tones in generatinglow-pass and high-pass signals.

FIGS. 15(A)-15(D) show time and corresponding spectral plots forexemplary LSB/USB scenarios using dual tones in generating band-passsignals.

FIGS. 16(A)-16(D) show spectral plots for exemplary scenarios of FIGS.8(A)-8(G), incorporating bit-stream generators, and using dual-tonebit-streams in generating various signals.

DETAILED DESCRIPTION

Cellular telecommunication systems include base stations that includesubsystems similar to power amplification system 100 of FIG. 1. Cellulartelecommunication systems typically communicate at radio frequencies ofapproximately 2 GHz. In order for a transmitter using a bit-streamgenerator to output a radio signal at 2 GHz with satisfactory noisecharacteristics, the frequency of the bit-stream provided to theswitching power amplifier should be at least 8 GHz. Conventionalbit-stream generators are not able to operate and provide outputs atsuch a high frequency.

FIG. 4 shows a simplified block diagram of power amplification system400 of a transmitter in accordance with one embodiment of thedisclosure. System 400 is similar to system 100 of FIG. 1, but withinterleaved-bit-stream generator 402 replacing bit-stream generator 102of FIG. 1. Note that digital signal source 401, switching poweramplifier 403, bandpass filter 404, and antenna 405 may be substantiallysimilar to the corresponding elements of power amplification system 100of FIG. 1. Interleaved-bit-stream generator 402 generates digital RFswitching signal 402 a, which is used as the input to switching poweramplifier 403. Interleaved-bit-stream generator 402 uses a plurality offractional-delay filters operating at a relatively low frequency andconnected to an interleaving serializer to generate a relativelyhigh-frequency output. Switching power amplifier 403 outputs amplifiedRF signal 403 a to bandpass filter 404, which, in turn, outputs analogRF output signal 404 a to antenna 405.

FIG. 5 shows a simplified block diagram of an example implementation ofinterleaved-bit-stream generator 402 of FIG. 4. Interleaved-bit-streamgenerator 402 of FIG. 5 is an 8-path bit-stream generator. First, n-bitdigital signal 401 a, where n is an integer greater than 1, is appliedto an array of eight parallel fractional delay (FD) filters501(1)-501(8). In any particular processing cycle, each of FD filters501(1)-501(8) receives the same sample. Note that digital signal 401 ais also referred to herein as u.

FD filters 501(1)-501(8) are substantially identical to each other instructure, but each one introduces an independent fractional delay tothe signal. Namely, FD filter 501(i) introduces into its correspondingsignal a fractional delay represented by Φ_(i). The fractional delay ofeach FD filter 501(i) should be set so as to account for the totalnumber of signals being interleaved, account for the desired signalmanipulation, and compensate for any delays introduced by serializerblock 503, which interleaves the signals. The delays for the FD filters501 of one embodiment of interleaved-bit-stream generator 402 arediscussed in detail below. Note that varying the fractional delay valuesof any of FD filters 501 will vary the signals output by FD filters 501and, consequently, the resulting interleaved output ofinterleaved-bit-stream generator 402, which is digital RF switchingsignal 402 a.

Each FD filter 501 may be implemented using a Farrow structure, which isa tunable fractional delay filter used to estimate the values of aninput signal between existing discrete-time samples. In other words, FDfilter 501 is an interpolation filter that can be used to compute newsample values at arbitrary points. A Farrow structure may be implementedas a polynomial-based digital filter. Note that each FD filter 501 mayoperate at the base-band rate of digital signal source 401 of FIG. 4,which may be, for example, 128 MHz, rather than at a radio-frequencyrate such as, for example, 1 GHz. Operating each FD filter 501 at thelower rate would reduce power consumption of interleaved-bit-streamgenerator 402. Note that reducing power consumption would beparticularly useful for power amplification systems that are powered bybatteries and/or solar panels, since those power sources are generallynot as robust as connections to the electric grid.

FIG. 6 shows a block diagram of module 600, which is an exampleimplementation of a Farrow structure. Module 600 comprises L FIR (finiteimpulse response) subfilters 601, where L is a positive integer and eachsubfilter 601(q) has a transfer function H_(q)(z), where q is an integerbetween 0 and L−1, inclusive. All L FIR subfilters 601 have the sameinput. The output of subfilter 601(L−1), whose transfer function isH_(L-1)(z), is scaled by a factor α an adjustable gain parameter and theresult added to the output of subfilter 601(L−2), whose transferfunction is H_(L-2)(z). That sum is then scaled by the factor α and theresult added to the output of subfilter 601(L−3) (not shown), whosetransfer function is H_(L-3)(z). This pattern repeats until thesummation of the α-scaled penultimate sum with the output of subfilter601(0), whose transfer function is H₀(z). As would be appreciated by aperson of skill in the art, there are known systems and methods forgenerating a Farrow structure having a particular desired fractionaldelay.

Referring again to FIG. 5, the output u_(i) of each FD filter 501(i) isprovided to a corresponding bit-stream generator 502(i). Bit-streamgenerators 502(1)-502(8) form an array of bit-stream generatorscorresponding to FD filter array 501(1)-501(8). Bit-stream generators502(1)-502(8) are substantially identical to each other in structure andeach may be implemented similarly to bit-stream generator 102 of FIG. 3.Note that other implementations of a bit-stream generator may be usedinstead. Each bit-stream generator 502(i) performs the up-sampling andquantizing functions described above and outputs a corresponding,relatively high-frequency, bit-stream x_(i), which is provided to 8-to-1serializer block 503. The bit-streams x₁-x₈ are at a first frequencysuch as, for example, 1 GHz.

Serializer block 503 comprises a funneling cascade of serializer modules504(1)-(7), wherein each serializer module 504 is a 2-to-1 serializerthat may be implemented as a switch. Each serializer module 504 takestwo bit-stream inputs x_(A) and x₁₃, where A and B represent signalidentifiers, each of which has a first sampling frequency. Serializermodule 504 then outputs a combined bit-stream signal x_(AB), whosesampling frequency is double the first sampling frequency. Theinterleaving is performed on a bit-by-bit basis, wherein serializer 504goes back and forth between outputting a bit from the first inputbit-stream and a bit from the second input bit-stream.

The funneling cascade of serializer block 503 may be viewed ascomprising three stages. In the first stage of the cascade, (a)bit-streams x₁ and x₂ are combined to generate bit-stream x₁₂, (b)bit-streams x₃ and x₄ are combined to generate bit-stream x₃₄, (c)bit-streams x₅ and x₆ are combined to generate bit-stream x₅₆, and (d)bit-streams x₇ and x₈ are combined to generate bit-stream x₇₈ by fourrespective serializer modules 504(1)-(4) operating at a second frequencysuch as, for example, 2 GHz, that is twice the first exemplary frequencyof 1 GHz.

In the second stage of the cascade, (a) bit-streams x₁₂ and x₃₄ arecombined to generate bit-stream x₁₂₃₄, and (b) bit-streams x₅₆ and x₇₈are combined to generate bit-stream x₅₆₇₈—by two respective serializermodules 504(5) and 504(6) operating at a third frequency such as, forexample, 4 GHz, that is twice the second exemplary frequency.

In the third stage of the cascade, bit-streams x₁₂₃₄ and x₅₆₇₈ arecombined to generate bit-stream x₁₂₃₄₅₆₇₈—by one serializer module504(7) operating at a fourth frequency such as, for example, 8 GHz, thatis twice the third exemplary frequency. Bit-stream x₁₂₃₄₅₆₇₈ is used asoutput signal 402 a of interleaved-bit-stream generator 402. Theserializer modules 504 of the various cascade levels (1) may bestructurally identical to the serial modules 504 of the other cascadelevels, but operating at different frequencies or (2) may bestructurally different from serializer modules 504 of other cascadelevels to allow for optimization of performance at particularoperational frequencies.

Note that alternative implementations of an 8-to-1 serializer may beused for serializer block 503. Serializer block 503 outputs digital RFswitching signal 402 a, which, as noted above, has a frequency eighttimes the frequency of the bit-streams output by bit-stream generators502.

FIG. 7 shows exemplary MATLAB source code 700 for simulating thegeneration of band-pass bit-stream signals as shown in and describedbelow in reference to, for example, FIGS. 8(A)-8(G). MATLAB is aregistered trademark of MathWorks, Inc., of Natick, Mass. The sourcecode shows particular coefficient values that may be used forcorresponding modules of, for example, interleaved-bit-stream generator402 of FIG. 5. The bit-stream generators are bypassed in this sourcecode (in other words, x_(i)=u_(i) for i=1 to 8), but the fractionaldelays are implemented. In other words, the u_(i) signals are obtainedusing the array of fractional delay filters shown in FIG. 5. Alsoimplemented are the series of interleaving operations, resulting in thefinal output of signal x₁₂₃₄₅₆₇₈. The time-domain signals are convertedinto frequency domain information using the fast Fourier transform (FFT)and plotted to create FIGS. 13-16, described further below. Thesesimulations illustrate how the signals are up-converted via theinterleaving process implemented by a series of serializer modules.

Source code 700 simulates a two-tone signal in other words, a signalhaving two distinct frequency components. If multiplier a2 is set to 0,then source code 700 would be a single-tone signal as represented inFIGS. 8(A)-8(G). Source code 700 presents the fractional delays of FDfilter 501 as sums of constants. For example, Φ₁, the delay of signalx₁, applied by FD filter 501(1), is ph1_(—)1+ph12_(—)1+ph1234_(—)1,which equals 0+0+0, or 0. The delays applied by the other FD filter 501are shown below, where f is the digital frequency and N is the number ofsamples in a sampling period of signal 401 a:

-   -   501(2): Φ₂=4/4*π*f/N,    -   501(3): Φ₃=2/4*π*f/N+π,    -   501(4): Φ₄=6/4*π*f/N+π,    -   501(5): Φ₅=1/4*π*f/N−π/2,    -   501(6): Φ₆=5/4*π*f/N−π/2,    -   501(7): Φ₇=3/4*π*f/N+π/2, and    -   501(8): Φ₈=7/4*π*f/N+π/2.        Note that source code 700 uses the terms N1, N2 (which equals        2*N1), and N4 (which equals 4*N1). For greater simplification, N        has been used above instead of N1 and substituted into the        formulas using N2 and N4. Note that alternative implementations        may use different delays. In particular, alternative        implantations may add or subtract different fractions of it in        order to generate high-pass, low-pass, or band-pass interleaved        signals within serializer block 503.

For example, as noted in source code 700, one of the phase shiftelements for signals x₅-x₈, indicated by the constant ph5678_(—)1, maybe either π*f/(4*N)+π/2—for high-side sampling − or π/(4*N)−π/2—forlow-side sampling. The above-listed delays are intended for low-sidesampling. In accordance with source code 700 and the above-describedsimplification, the applied delays for FD filters 501 for high-sidesampling would be:

-   -   501(1): Φ₁=0    -   501(2): Φ₂=4/4*π*f/N,    -   501(3): Φ₃=2/4*π*f/N+π,    -   501(4): Φ₄=6/4*π*f/N+π,    -   501(5): Φ₅=1/4*π/N+π/2,    -   501(6): Φ₆=5/4*π*f/N+π/2,    -   501(7): Φ₇=3/4*π*f/N+3π/2, and    -   501(8): Φ₈=7/4*π*f/N+3π/2        As noted above, for greater simplification, N has been used        above instead of N1 and substituted into the formulas using N2        and N4.

Below is an analysis of simulated exemplary operation ofinterleaved-bit-stream generator 402. Note that since the bit-streamgenerators 502(1)-502(8) act as high-fidelity radio-frequency digitalmodulators at the frequency band of interest, converting ahigher-resolution multi-bit (e.g., 8-bit) signal into a lower-resolutionfewer-bit (e.g., 1-bit) signal, the information in the frequency band ofinterest represented in each input signal u_(i) is very close in detailto the information in the frequency band of interest represented in itscorresponding output signal x_(i), even though their respective samplingfrequencies may be far apart. Consequently, the symbols u_(i) and x_(i)may be used interchangeably in the below analysis of interleaving ofsignals in the frequency band of interest.

FIG. 8(A) shows the frequency spectrum for exemplary bit-stream signalx₁, having a nominal frequency f and sampled at frequency Fs1, showingfrequency components at close to zero frequency, or DC (i.e., directcurrent, which has a frequency of zero), and close to the exemplarysignal's sampling frequency of Fs1. Note that single-tone signal x₁shows two frequency components because of the aliasing caused bysampling, as would be appreciated by a person of ordinary skill in theart. Also note that frequency components are sometimes referred to asspectral components.

FIGS. 8(A)-8(G) are a series of simplified simulated frequency graphsillustrating the exemplary generation by serializer block 503 of FIG. 5of a band-pass bit-stream output signal X₁₂₃₄₅₆₇₈ that represents asingle tone near a desired output frequency of Fs8/4. Note that thesampling frequencies of the signals illustrated in FIGS. 8(A)-8(G) areFs1, Fs2, Fs4, and Fs8, where Fs2 is twice Fs1, Fs4 is four times Fs1,and Fs8 is eight times Fs1. Output bit-stream signal x₁₂₃₄₅₆₇₈ isgenerated by interleaving eight input single-tone bit-stream signals,namely, x₁, x₂, x₃, x₄, x₅, x₆, x₇, and x_(s), each sampled at samplingfrequency Fs1 of, for example, 1 GHz.

Note that in actual operation, the truncation of least-significant bitsin various arithmetic operations performed will result in sometruncation error, which is similar to quantization error. As would beappreciated by a person of ordinary skill in the art, the location alongthe frequency spectrum of the truncation error may be shaped usingmathematical operations so as to have the truncation error located atfrequencies away from the frequency band of interest so that thetruncation errors may be filtered out by an appropriate pass filter(e.g., a low-pass, high-pass, or band-pass filter). Note that any shapedtruncation error components of the bit-stream signals in FIGS. 8(A)-8(G)are not shown.

Bit-stream signal x₁ of FIG. 8(A) is an exemplary output of bit-streamgenerator 502(1) of FIG. 5, whose input is signal u₁. As noted above,the frequency spectrum for signal x₁ includes spectral components atclose to 0 Hz (or DC) and aliased components close to the signal'ssampling frequency of Fs1. Bit-stream signal x₂ of FIG. 8(B) is anexemplary output of bit-stream generator 502(2), whose input is signalu₂. Exemplary signal x₂ also shows spectral components at close to DCand alias components close to the signal's sampling frequency of Fs1.Note that the input signals u₁ and u₂ of FIG. 5 were generated from theinput signal 401 a by passing input signal 401 a through fractionaldelay filters 501(1) and 501(2), respectively, with correspondingfractional delays Φ₁ and Φ₂, respectively.

FIG. 8(C) shows the frequency spectrum of bit-stream signal x₁₂, sampledat sampling frequency Fs2 (e.g., 2 GHz) and which was obtained byinterleaving x₁ and x₂, each sampled at sampling frequency Fs1 (e.g., 1GHz). As can be seen, the interleaved signal x_(i2) has fourfrequency-spectrum components, one of which, at the lowest frequency, isconsidered the actual signal and the other three are considered aliasesin the 0-Fs2 frequency range. The spectral component close to 0 Hz (orDC) is referred to as the low-pass component. The alias of the low-passcomponent resulting from sampling appears close to Fs2. The spectralcomponent just below Fs2/2 is called a high-pass component, and itsalias due to sampling is just above Fs2/2. In the particular case ofFIG. 8(A) and FIG. 8(B), x₁ and x₂ are low-pass bit-streams. Also, therespective fractional delays, Φ₁ and Φ₂, for x₁ and x₂ are selected sothat x_(i2) becomes a low-pass bit-stream where the high-pass componentand its image in x_(i2) cancel out because they are generated to haveopposite phases. This is done by setting the appropriate parameters forthe corresponding fractional delay filters, as described elsewhereherein. Note that the canceled-out segments are shown as grayed out inFIG. 8(C) and subsequent figures. Note that Φ₁ and Φ₂ can, instead, beselected so that signal x₁₂ would, instead, become a high-pass bitstream where the low-pass component and its image in signal x₁₂ wouldcancel out.

FIG. 8(C) illustrates the use of the method described elsewhere hereinfor constructing signal x₁₂ as a low-pass bit-stream from the twolow-pass bit-streams x₁ and x₂.

FIG. 8(D) shows, similarly to FIG. 8(C), the result of the use of themethod described elsewhere herein to construct signal x₃₄ as a low-passbit-stream from bit-streams x₃ and x₄.

FIG. 8(E) shows the subsequent generation of signal x₁₂₃₄, which isconstructed to be a high-pass bit-stream generated from the two low-passbit-streams x₁₂ and x₃₄. The grayed out spectral components representthe canceled aliasing components. Note that the sampling frequency usedfor signal x₁₂₃₄ is Fs4 (e.g., 4 GHz).

FIG. 8(F) shows, similarly to FIG. 8(E), the result of the use of theelsewhere-described method to construct signal x₅₆₇₈ as a high-passbit-stream generated from bit-streams x₅₆ and x₇₈. Signal x₅₆ (notshown) was generated from single-tone signals x₅ and x₆ (not shown) in amanner similar to the generation of signal x₁₂, as described above.Similarly, signal x₇₈ (not shown) was generated from single-tone signalsx₇ and x₈ (not shown) in a manner similar to the generation of signalx₁₂, as described above.

FIG. 8(G) shows the result of the use of the elsewhere-described methodto construct signal x₁₂₃₄₅₆₇₈ as a lower side band (LSB) band-pass sinewave, having a spectral component by Fs8/4 (e.g., 2 GHz), as desired.Note that the sampling frequency used for signal x₁₂₃₄₅₆₇₈ is Fs8 (e.g.,8 GHz).

The following is an explanation of the setting of the fractional delaysimplemented by FD filters 501 in FIG. 5 and enumerated above. Thesefractional delays are applied to input signal 401 a in order to obtainthe spectral plots shown in FIG. 8.

An analog sine-wave x can be described as

x=A*sin(2π*f*t+Φ)

where A is constant coefficient, f is the frequency, t is the time, andΦ is a phase shift or delay. A digital sine-wave x can be described as

x=A*sin(2*π*f/Fs*[1:N]+Φ)

where N is the number of samples and Fs is the sampling frequency (usingstandard Matlab syntax). Therefore, f/Fs is the normalized digitalfrequency and [1:N], which represents the set [1, 2, 3, . . . , N],represents the normalized digital time samples occurring during eachsampling period Ts, which equals 1/Fs.

If x₁ and x₂ are low-pass sine waves of frequency f sampled at Fs1, thenx₁₂, which is obtained by interleaving x₁ and x₂, will be: (1) alow-pass sine wave (with high-pass components cancelled) if Φ₁=0 andΦ₂=f*π/Fs1 or (2) a high-pass sine wave (with low-pass componentscancelled) if Φ₁=0 and Φ₂=f*π/Fs1+π. (Note that it is the relative phasedifference between Φ₁ and Φ₂ that matters, not the absolute phase valuesof Φ₁ and Φ₂.

Similarly, if x₃ and x₄ are low-pass sine waves of frequency f sampledat Fs1, then x₃₄, which is obtained by interleaving x₃ and x₄, will be:(1) a low-pass sine wave (with high-pass components cancelled) if Φ₃=0and Φ₄=f*π/Fs1 or (2) a high-pass sine wave (with low-pass componentscancelled) if Φ₁=0 and Φ₂=f*π/Fs1+π.

If x₁ and x₂ are high-pass sine waves of frequency f sampled at Fs1,then x₁₂, which is obtained by interleaving x₁ and x₂, will be: (1) alower side band (LSB) band-pass sine wave (with upper side band (USB)components cancelled) if Φ₁=0 and Φ₂=f*π/Fs1+π/2 or (2) or an upper sideband (USB) band-pass sine wave (with LSB components cancelled) if Φ₁=0and Φ2=f*π/Fs1−π/2. As noted above, the fractional delays implemented byparticular fractional delay filters may be modified in accordance withthe above descriptions to obtain different desired outputs as signalx₁₂₃₄₅₆₇₈.

FIG. 9 shows interleaved-bit-stream generator 900, which outputs digitalRF switching signal 900 a and is an alternative implementation ofinterleaved-bit-stream generator 402 of FIG. 4. Bit-stream generator 900splits input signal 401 a into sixteen signals provided to sixteencorresponding FD filters 901(1)-(16). Fractional delay filters 901 aresubstantially similar to FD filters 501 of FIG. 5. The outputs ofcorresponding pairs of FD filters 901(2 i−1) and 901(2 i), where i=1 to8—such as 901(1) and 901(2)—are provided to corresponding adders 902(i).The output of each adder 902(i) is provided to corresponding bit-streamgenerator 502(i), which, together with serializer block 503, operatessubstantially the same as the corresponding elements ofinterleaved-bit-stream generator 402 of FIG. 5. Using the additional FDfilters and adders allows for increased signal bandwidth, as explainedbelow.

FIGS. 10(A)-10(B) help illustrate how the FD filter 901 pairs andcorresponding adders 902 of FIG. 9—such as FD filters 901(1) and 901(2)and adder 902(1)—generate their corresponding outputs such—as signal x₁.Note that signals x₂-x₈ are similarly generated. Ininterleaved-bit-stream generator 900, signal 401 a, or u_(i) is inputto, among others, fractional delay filters 901(1) and 901(2). Thefractional delay implemented by fractional delay filter 901(1) (e.g.,Φ_(1a)) is different from the fractional delay implemented by fractionaldelay filter 901(2) (e.g., Φ_(1b)). The outputs of FD filters 901(1) and901(2)—u_(1LSB) and u_(1USB), respectively—are added by adder 902(1) togenerate signal u₁ which is then provided to bit-stream generator 502(1)to generate signal x₁.

FIG. 10(A) is a frequency graph that shows—as upside-down U's—thespectral components—primary and aliased of exemplary signal u_(1LSB),which was generated to be a lower-side-band component signal. FIG. 10(B)shows—as upside-down V's—the spectral components of exemplary signalU_(1USB), which was generated to be an upper-side-band component signal.After the interleaving of signal x₁ and similarly generated signalsx₂-x₈ by serializer block 503, the resulting interleaved bandpass signalx₁₂₃₄₅₆₇₈ contains useful signal information on both sides of the targetfrequency, thereby effectively providing double the bandwidth of signalsx₁-x₈ of FIGS. 8(A)-8(G). This is further described below.

FIGS. 11(A)-11(G) are a series of related frequency graphs illustratingthe processing of signals in interleaved-bit-stream generator 900 ofFIG. 9. The signals in FIGS. 11(A)-11(G) are similar to the signals inFIGS. 8(A)-8(G), but are narrowband (and band-limited) signals, wherethe resultant signal x₁₂₃₄₅₆₇₈ is a band-pass signal constructed byinterleaving signals x₁, x₂, x₃, x₄, x₅, x₆, x₇, and x₈. Note, however,that as described above in reference to signal x₁, each signal x_(i) isgenerated using two fractional delay filters 901. Accordingly, thespectral components of each of signal x₁ in FIG. 11(A) and signal x₂ inFIG. 11(B) are represented by both an upside-down U—corresponding to thelower-side-band (LSB) component and an upside-down V—corresponding tothe upper-side-band component (USB). Note that the LSB and USB signalcomponents in x₁ (and x₂) overlap in frequency but are discriminated byphases. FIGS. 11(A)-11(G) illustrate use of the above-described methodsof selecting fractional delays and interleaving the signals x_(i) tocancel aliases. FIG. 11(G) shows that the resultant signal x₁₂₃₄₅₆₇₈ hasdouble the signal bandwidth of the individual input signals by placingthe LSB and USB components side by side.

FIGS. 12(A)-12(D) show four variations for the spectral componentsaround Fs8/4 for signal x₁₂₃₄₅₆₇₈ of FIG. 11(G) resulting fromalternative implementations. The particular resultant variation dependson x_(1LSB) and x_(1USB), which depend on the particular delay settingsof the corresponding fractional delay filters that output the signal.FIG. 12(D) shows the variation shown in FIG. 11(G) and described above.FIG. 12(A) shows another variation that provides double bandwidth by thefrequency (Fs8)/4. FIG. 12(B) and FIG. 12(C) show variations where onlythe regular bandwidth is available and USB and LSB overlap in frequency,which may not be desirable.

FIGS. 13(A)-13(C) show time (on the left) and corresponding spectralplots (on the right) of simulations using input single tones x_(A) andx₁₃ in generating low-pass (FIG. 13(A)), high-pass (FIG. 13(B)), andband-pass (FIG. 13(C)) signals x_(AB), respectively, where A and B aresignal identifiers. Note that (1) low-pass signals refers to signalswhose frequencies are predominantly close to zero, (2) high-pass signalsrefers to signals whose frequencies are predominantly close to Fs/2,where Fs is the sampling frequency, and (3) band-pass signals refers tosignals whose frequencies fall between low-pass and high-pass (e.g.,close to Fs/4).

Input tone x_(A) is illustrated in the top two graphs and input tone x₁₃is illustrated in the middle two graphs of FIGS. 13(A)-13(C). Theresultant signal x_(AB) is illustrated in the bottom two graphs of FIGS.13(A)-13(C). Specifically, FIG. 13(A) illustrates the interleaving ofinput signals x₁ and x₂ to generate low-pass signal x₁₂. Low-pass signalx₃₄ would be similarly generated. FIG. 13(B) illustrates theinterleaving of input signals x₁₂ and x₃₄ to generate high-pass outputsignal x₁₂₃₄. High-pass signal x₅₆₇₈ would be similarly generated. FIG.13(C) illustrates the interleaving of input signals x₁₂₃₄ and x₅₆₇₈ togenerate band-pass output signal x₁₂₃₄₅₆₆₇₈.

FIGS. 14(A)-14(B) show time and corresponding spectral plots forexemplary scenarios of using dual tones in generating low-pass andhigh-pass signals, respectively. The dual tones may be generated asdescribed above in reference to FIG. 9 and FIGS. 10(A)-10(B). FIG. 14(A)and FIG. 14(B) show simulations illustrating scenarios similar to thoseshown in FIGS. 11(A)-11(F).

FIGS. 15(A)-15(D) show time and corresponding spectral plots forexemplary lower-sideband and upper-side-band scenarios using dual tonesin generating band-pass signals. FIGS. 15(A)-15(D) show simulationsillustrating scenarios similar to the variations shown in FIGS.12(A)-12(D).

FIGS. 16(A)-16(D) show spectral plots for exemplary scenarios of FIGS.8(A)-8(G), incorporating bit-stream generators, and using dual-tonebit-streams in generating various signals. FIG. 16(A) shows a samplespectral plot for low-pass dual-tone bit-stream x₁.

FIG. 16(B) shows a sample spectral plot for low-pass dual-toneinterleaved bit-stream x₁₂. FIG. 16(C) shows a sample spectral plot forhigh-pass dual-tone bit-stream x₁₂₃₄. FIG. 16(D) shows a sample spectralplot for band-pass dual-tone bit-stream x₁₂₃₄₅₆₇₈.

Exemplary embodiments have been described where n=8, in other words,using arrays of eight FD filters and bit-stream generators. Alternativemulti-path embodiments use different values of n, with correspondingnumbers of FD filters, bit-stream generators, and serializer inputs. Insome alternative embodiments, the fractional delays of the FD filtersare spaced 1/n of a sample period apart. For example, in one four-pathembodiment, the fractional delays are ¼, ½, ¾, and 1 of a sample period.In another four-path embodiment, the fractional delays are 0, ¼, ½, and¾ of a sample period.

An exemplary embodiment has been described where all of the FD filtersof interleaved-bit-stream generator 402 of FIG. 5, and ofinterleaved-bit-stream generator 900 of FIG. 9, respectively, areidentical to each other in structure. In alternative embodiments,interleaved-bit-stream generator 402, or interleaved-bit-streamgenerator 900, includes two or more FD filters having differentstructures.

An exemplary embodiment has been described where all of the bit-streamgenerators of an interleaved-bit-stream generator, such asinterleaved-bit-stream generator 402 of FIG. 5 or interleaved-bit-streamgenerator 900 of FIG. 9, are identical to each other in structure. Inalternative embodiments, interleaved-bit-stream generator 402, orinterleaved-bit-stream generator 900, includes two or more bit-streamgenerators having different structures.

An exemplary embodiment has been described where all of the serializermodules of serializer block 503 of FIG. 5 and FIG. 9 are identical toeach other in structure. In alternative embodiments, serializer block503 includes two or more serializer modules having different structures.

As used herein in reference to data transfers between entities in thesame device, and unless otherwise specified, the terms “receive” and itsvariants can refer to receipt of the actual data, or the receipt of oneor more pointers to the actual data, wherein the receiving entity canaccess the actual data using the one or more pointers.

Exemplary embodiments have been described wherein particular entities(a.k.a. modules) perform particular functions. However, the particularfunctions may be performed by any suitable entity and are not restrictedto being performed by the particular entities named in the exemplaryembodiments.

Exemplary embodiments have been described with data flows betweenentities in particular directions. Such data flows do not preclude dataflows in the reverse direction on the same path or on alternative pathsthat have not been shown or described. Paths that have been drawn asbidirectional do not have to be used to pass data in both directions.

Signals and corresponding nodes or ports may be referred to by the samename and are interchangeable for purposes here.

References herein to the verb “to generate” and its variants inreference to information or data do not necessarily require the creationand/or storage of new instances of that information. The generation ofinformation could be accomplished by identifying an accessible locationof that information. The generation of information could also beaccomplished by having an algorithm for obtaining that information fromaccessible other information.

The present invention may be implemented as circuit-based systems,including possible implementation as a single integrated circuit (suchas an ASIC or an FPGA), a multi-chip module, a single card, or amulti-card circuit pack. As would be apparent to one skilled in the art,various functions of circuit elements may also be implemented asprocessing steps in a software program. Such software may be employedin, for example, a digital signal processor, micro-controller, orgeneral-purpose computer.

The present invention can be embodied in the form of methods andapparatuses for practicing those methods. The present invention can alsobe embodied in the form of program code embodied in tangible media, suchas magnetic recording media, optical recording media, solid statememory, floppy diskettes, CD-ROMs, hard drives, or any othernon-transitory machine-readable storage medium, wherein, when theprogram code is loaded into and executed by a machine, such as acomputer, the machine becomes an apparatus for practicing the invention.The present invention can also be embodied in the form of program code,for example, stored in a non-transitory machine-readable storage mediumincluding being loaded into and/or executed by a machine, wherein, whenthe program code is loaded into and executed by a machine, such as acomputer, the machine becomes an apparatus for practicing the invention.When implemented on a general-purpose processor, the program codesegments combine with the processor to provide a unique device thatoperates analogously to specific logic circuits.

The present invention can also be embodied in the form of a bitstream orother sequence of signal values stored in a non-transitory recordingmedium generated using a method and/or an apparatus of the presentinvention.

It will be further understood that various changes in the details,materials, and arrangements of the parts which have been described andillustrated in order to explain the nature of this invention may be madeby those skilled in the art without departing from the scope of theinvention as expressed in the following claims.

Reference herein to “one embodiment” or “an embodiment” means that aparticular feature, structure, or characteristic described in connectionwith the embodiment can be included in at least one embodiment of theinvention. The appearances of the phrase “in one embodiment” in variousplaces in the specification are not necessarily all referring to thesame embodiment, nor are separate or alternative embodiments necessarilymutually exclusive of other embodiments. The same applies to the term“implementation.”

Unless explicitly stated otherwise, each numerical value and rangeshould be interpreted as being approximate as if the word “about” or“approximately” preceded the value of the value or range. As used inthis application, unless otherwise explicitly indicated, the term“connected” is intended to cover both direct and indirect connectionsbetween elements.

For purposes of this description, the terms “couple,” “coupling,”“coupled,” “connect,” “connecting,” or “connected” refer to any mannerknown in the art or later developed in which energy is allowed to betransferred between two or more elements, and the interposition of oneor more additional elements is contemplated, although not required. Theterms “directly coupled,” “directly connected,” etc., imply that theconnected elements are either contiguous or connected via a conductorfor the transferred energy.

The use of figure numbers and/or figure reference labels in the claimsis intended to identify one or more possible embodiments of the claimedsubject matter in order to facilitate the interpretation of the claims.Such use is not to be construed as limiting the scope of those claims tothe embodiments shown in the corresponding figures.

The embodiments covered by the claims in this application are limited toembodiments that (1) are enabled by this specification and (2)correspond to statutory subject matter. Non-enabled embodiments andembodiments that correspond to non-statutory subject matter areexplicitly disclaimed even if they fall within the scope of the claims.

Although the steps in the following method claims are recited in aparticular sequence with corresponding labeling, unless the claimrecitations otherwise imply a particular sequence for implementing someor all of those steps, those steps are not necessarily intended to belimited to being implemented in that particular sequence.

We claim:
 1. A system comprising: an interleaved bit-stream generatoradapted to receive a first digital input signal and output a switchingsignal, the interleaved-bit-stream generator comprising: afractional-delay array adapted to receive the first digital input signaland output a plurality of fractionally delayed digital output signals; abit-stream generation array adapted to receive the plurality offractionally delayed digital output signals and output a plurality ofcorresponding bit-streams; and a serializer block adapted to receive theplurality of corresponding bit-streams and interleave the bit-streams togenerate the switching signal, wherein the frequency of the switchingsignal is higher than the frequency of the first digital input signal.2. The system of claim 1, wherein: the fractional-delay array comprisesM fractional-delay filters, where M is an integer greater than 1; thebit-stream generator array comprises P bit-stream generators; eachfractional-delay filter receives the first digital input signal,introduces a corresponding fractional delay Φ_(j), and outputs acorresponding fractionally delayed digital output signal v_(j)]; jcorresponds to the integers from 1 to M; each bit-stream generatorreceives a fractionally delayed output signal u based on the output ofat least one corresponding fractional-delay filter, and generates acorresponding bit-stream x₁; and i corresponds to the integers from 1 toP.
 3. The system of claim 2, wherein:M=P; andv _(j) =u _(i).
 4. The system of claim 3, wherein:M=P=8; the first digital input signal has a digital frequency f; thefirst digital input signal has a sampling period having N samples; Φ₁=0;Φ₂=4/4*π*f/N; Φ₃=2/4*π*f/N+π; Φ₄=6/4*π*f/N+π; Φ₅=1/4*π*f/N−π/2;Φ₆=5/4*π*f/N−π/2; Φ₇=3/4*π*f/N+π/2; and Φ₈=7/4*π*f/N+π/2.
 5. The systemof claim 3, wherein:M=P=8; the first digital input signal has a digital frequency f; thefirst digital input signal has a sampling period having N samples; Φ₁=0;Φ₂=4/4*π*f/N; Φ₃=2/4*π*f/N+π; Φ₄=6/4*π*f/N+π; Φ₅=1/4*π*f/N+π/2;Φ₆=5/4*π*f/N+π/2; Φ₇=3/4*π*f/N+π/2; and Φ₈=7/4*π*f/N+π/2.
 6. The systemof claim 2, wherein:M=2*P; the fractional-delay array further comprises P adders; and adderi adds the outputs v₂₋₁ and v_(2i) of fractional-delay filter 2 i−1 andfractional-delay filter 2 i, respectively, to generate fractionallydelayed output signal u_(i).
 7. The system of claim 6, wherein:P=8; andM=16.
 8. The system of claim 6, wherein: Φ_(2i-1) is different fromΦ_(2i).
 9. The system of claim 6, wherein: Φ_(2i-1) is selected so thatv_(2i-1) is a lower-side-band component signal; and Φ_(2i) is selectedso that v₂, is an upper-side-band component signal.
 10. The system ofclaim 1, wherein the system is powered by one or more batteries.
 11. Amethod comprising: receiving, by an interleaved bit-stream generator, afirst digital input signal, wherein the interleaved bit-stream generatorcomprises: a fractional-delay array; a bit-stream generation array; anda serializer block; receiving, by the fractional-delay array, the firstdigital input signal; outputting, by the fractional-delay array, aplurality of fractionally delayed digital output signals; receiving, bythe bit-stream generation array, the plurality of fractionally delayeddigital output signals; outputting, by the bit-stream generation array,a plurality of corresponding bit-streams; receiving, by the serializerblock, the plurality of corresponding bit-streams; interleaving, by theserializer block, the plurality of bit-streams to generate acorresponding switching signal, wherein the frequency of the switchingsignal is higher than the frequency of the first digital input signal;and outputting, by the interleaved bit-stream generator, the switchingsignal.
 12. The method of claim 11, wherein: the fractional-delay arraycomprises M fractional-delay filters, where M is an integer greater than1; the bit-stream generator array comprises P bit-stream generators; jcorresponds to the integers from 1 to M; i corresponds to the integersfrom 1 to P; and the method comprises: receiving, by eachfractional-delay filter, the first digital input signal, introducing, byeach fractional-delay filter, a corresponding fractional delay Φ_(j);outputting, by each fractional-delay filter, a correspondingfractionally delayed digital output signal v_(j); receiving, by eachbit-stream generator, a fractionally delayed output signal u_(i) basedon the output of at least one corresponding fractional-delay filter; andgenerating, by each bit-stream generator, a corresponding bit-streamx_(i).
 13. The method of claim 12, wherein:M=P; andv _(j) =u _(i).
 14. The method of claim 13, wherein:M=P=8; the first digital input signal has a digital frequency f; thefirst digital input signal has a sampling period having N samples; Φ₁=0;Φ₂=4/4*π*f/N; Φ₃=2/4*π*f/N+π; Φ^(4=6/4)*π*f/N+π; Φ₅=1/4*π*f/N−π/2;16=5/4*π*f/N−π/2; Φ₇=3/4*π*f/N+π/2; and Φ_(8=7/4)*π*f/N+π/2.
 15. Themethod of claim 13, wherein:M=P=8; the first digital input signal has a digital frequency f; thefirst digital input signal has a sampling period having N samples; Φ₁=0;Φ₂=4/4*π*f/N; Φ₃=2/4*π*f/N+π; Φ₄=6/4*π*f/N+π; Φ₅=1/4*π*f/N+π/2;Φ₆=5/4*π*f/N+π/2; Φ₇=3/4*π*f/N+π/2; and Φ₈=7/4*π*f/N+π/2.
 16. The methodof claim 12, wherein:M=2*P; the fractional-delay array further comprises P adders; and themethod further comprises adding, by adder i, the outputs v₂₋₁ and v_(2i)of fractional-delay filter 2 i−1 and fractional-delay filter 2 i,respectively, to generate fractionally delayed output signal u_(i). 17.The method of claim 16, wherein:P=8; andM=16.
 18. The method of claim 16, wherein: Φ_(2i-1) is different fromΦ_(2i).
 19. The method of claim 16, further comprising: selectingΦ_(2i-1) so that v_(2i-1) is a lower-side-band component signal; andselecting Φ_(2i) so that v_(2i) is an upper-side-band component signal.